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It was a rough night for Lindsay Lohan and mama Dina .... first, flying to L.A. to dodge an arrest warrant and landing after midnight .... then getting rejected by a swanky hotel ... and TMZ has learned they were BLACKBALLED.

Lindsay and Dina showed up at Shutters on the Beach in Santa Monica (see video) at around 1 AM Wednesday. Lindsay stayed in the car while Dina went inside to check in, but she was unceremoniously turned away. Sources at Shutters tell TMZ they put Lindsay on a blacklist after she allegedly trashed one of their rooms in 2007.

Lindsay and Dina then went up the road a piece, to the Loews Hotel where they were also turned away. Management tells TMZ ... there were no rooms available.

We don't know where Lindsay and Dina ended up ... but one thing's for sure ... with court starting at 8:30 AM, they're gonna have bags so big they'll need to check them for the return flight.

Driving around LA at one in the morning before your court date trying to find a hotel, smh. How coked up is she going to have to be to stay awake in court? And what happened to that house she was renting?